Answer:
$20.8
Step-by-step explanation:
I = PRT / 100
I = ?
P = 65
R = 4%
T = 8yrs
I = (65 * 4 * 8) / 100
I = $20.8
Step-by-step explanation:
Given points (-1 , -2) and (3 ,10)
First calculating slope
Slope(m) = (y2 -y1) / (x2 - x1)
= ( 10+ 2)/ ( 3 + 1)
= 12 / 4
= 3
Now The equation of line is
y - y1 = m ( x - x1)
y +2 = 3 ( x +1)
y+2 = 3x + 3
y = 3x + 3 -2
y = 3x + 1
Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
The values of a and b are:
Step-by-step explanation:
Given the exponential model
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
Switching sides
Taking the real value such as:
![\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dx%5E3%3Df%5Cleft%28a%5Cright%29%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7Dx%3D%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D)
so
![b=\sqrt[3]{64}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B64%7D)
![b=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
Therefore,
